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Field name	Details
Dewey Class	515.353
Title	Harnack's Inequality for Degenerate and Singular Parabolic Equations ([Ebook]) / by Emmanuele DiBenedetto, Ugo Gianazza, Vincenzo Vespri.
Author	DiBenedetto, Emmanuele
Added Personal Name	Gianazza, Ugo
Added Personal Name	Vespri, Vincenzo
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer , 2012.
Physical Details	XIII, 278 pages : 6 illus. : online resource.
Series	Springer monographs in mathematics 1439-7382
ISBN	9781461415848
Summary Note	While degenerate and singular parabolic equations have been researched extensively for the last 25 years, the Harnack inequality for nonnegative solutions to these equations has received relatively little attention. Recent progress has been made on the Harnack inequality to the point that the theory is now reasonably completeâexcept for the singular subcritical rangeâboth for the p-Laplacian and the porous medium equations. This monograph provides a comprehensive overview of the subject that highlights open problems.Â The authors treat the Harnack inequality for nonnegative solutions to p-Laplace and porous medium type equations, both in the degenerate and in the singular range. The work is mathematical in nature; its aim is to introduce a novel set of tools and techniques that deepen our understanding of the notions of degeneracy and singularity in partial differential equations. Â Although related in spirit to a monograph by the first author in this subject, this book is a self-contained treatment with a different perspective.Â Here the focus is entirely on the Harnack estimates and on their applications; the authors use the Harnack inequality to reprove a number of known regularity results.Â This book is aimed at researchers and advanced graduate students who work in this fascinating field.:
Contents note	Preface -- 1. Introduction -- 2. Preliminaries -- 3. Degenerate and Singular Parabolic Equations -- 4.Â Expansion of Positivity -- 5. The Harnack Inequality for Degenerate Equations -- 6. The Harnack Inequality for Singular Equations -- 7. Homogeneous Monotone Singular Equations -- Appendix A -- Appendix B -- Appendix C -- References -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4614-1584-8
Links to Related Works	Subject References: Degenerate differential equations . Differential equations, Parabolic . Differential equations, Partial . Functions, Special . Global analysis (Mathematics) . Partial differential equations . Special Functions . Vector analysis . Authors: author . DiBenedetto, Emmanuele . Gianazza, Ugo . Vespri, Vincenzo . Corporate Authors: SpringerLink (Online service) . Series: Springer monographs in mathematics . Classification: 515.353 . 515.353 (DDC 23) .

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Harnack's Inequality for Degenerate and Singular Parabolic Equations

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